OAI/MathematicalPhysics/ContinuumCoulomb/Reduction/ComputableHopping.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

The actual normalized hopping coefficient has a polynomial TM2 approximation. The sole fixed guard is chosen from the already proved positive normalization integral; it is independent of every input.

  1. abbrev OAI.ContinuumCoulomb.ComputableHopping.Input line 15
  2. def OAI.ContinuumCoulomb.ComputableHopping.precision line 17
  3. def OAI.ContinuumCoulomb.ComputableHopping.argument line 19
  4. def OAI.ContinuumCoulomb.ComputableHopping.approximate line 21
  5. theorem OAI.ContinuumCoulomb.ComputableHopping.precision_cast line 25
  6. theorem OAI.ContinuumCoulomb.ComputableHopping.precision_budget line 29
  7. theorem OAI.ContinuumCoulomb.ComputableHopping.approximation_error line 55
  8. opaque OAI.ContinuumCoulomb.ComputableHopping.precisionFactorsProgram line 74
  9. opaque OAI.ContinuumCoulomb.ComputableHopping.precisionRawProgram line 80
  10. opaque OAI.ContinuumCoulomb.ComputableHopping.precisionProgram line 84
  11. opaque OAI.ContinuumCoulomb.ComputableHopping.argumentProgram line 87
  12. opaque OAI.ContinuumCoulomb.ComputableHopping.program line 95
  13. def OAI.ContinuumCoulomb.ComputableHopping.certificate line 104